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Finding the Fourth Proportional to 2,547, 3,820.76 and 791.94

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Solution

The fourth proportional to 2,547, 3,820.76 and 791.94 is: 1,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,820.76 = 791.94 : x
  2. Step 2: Convert to fraction form
    2,547/3,820.76 = 791.94/x
  3. Step 3: Cross multiply
    2,547x = 3,820.76 × 791.94
  4. Step 4: Simplify right side
    2,547x = 3,025,808.71
  5. Step 5: Solve for x
    x = 3,025,808.71/2,547
  6. Step 6: Final answer
    x = 1,187.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.